Dreaming about a professor symbolizes experience and wisdom. Seeing a professor (past or present) in your dream suggests that you are seeking advice or knowledge. On the other hand, the dream can be related to authority and approval.
Dream dictionary: Professor dream meanings
To have interaction with or to see a professor, when you are dreaming, symbolizes the quality of having experience, knowledge, and good judgement. It stands as an omen for higher learning and intelligence. You will have the state of being important or famous in some field.
Dreaming of being a professor at a school suggests that the dreamer likes to study and longs to acquire a good cultural level which is why the dreamer likes literature, either as a reader or writer.